A high-sensitivity optical fiber acoustic probe based on extrinsic Fabry-Perot interferometer (EFPI) is designed, fabricated, and analyzed. The sound sensitive diaphragm fabricated by silicone rubber exhibits excellent properties including good adhesion, high mechanical strength, flexibility, aging resistance, and biocompatibility. The acoustic pressure change introduces the periodic vibration of silicone rubber diaphragm, which causes the fluctuation of the output voltage. The FP cavity is formed by a cleaved end face of fiber and the silicone rubber diaphragm. The silicone rubber is prepared by a simple spin-dip method, which is easy to fabricate and suitable for mass production. A high acoustic pressure sensitivity and a high signal-to-noise ratio (SNR) of 387 mV/Pa and 48 dB at 1.5 kHz were obtained, respectively. The sensor is expected to be suitable for photoacoustic spectroscopy, week acoustic detections and biological application.